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    Title: Interval Estimation for the Pareto Distribution Based on the Progressive Type II Censored Sample
    Authors: Wu, Shu-Fei
    Contributors: 淡江大學統計學系
    Keywords: progressive Type II censoring;Pareto distribution
    Date: 2010-04
    Issue Date: 2011-10-23 16:35:02 (UTC+8)
    Publisher: Abingdon: Taylor & Francis
    Abstract: For the complete sample and the right Type II censored sample, Chen [Joint confidence region for the parameters of Pareto distribution. Metrika 44 (1996), pp. 191–197] proposed the interval estimation of the parameter θ and the joint confidence region of the two parameters of Pareto distribution. This paper proposed two methods to construct the confidence region of the two parameters of the Pareto distribution for the progressive Type II censored sample. A simulation study comparing the performance of the two methods is done and concludes that Method 1 is superior to Method 2 by obtaining a smaller confidence area. The interval estimation of parameter ν is also given under progressive Type II censoring. In addition, the predictive intervals of the future observation and the ratio of the two future consecutive failure times based on the progressive Type II censored sample are also proposed. Finally, one example is given to illustrate all interval estimations in this paper.
    Relation: Journal of Statistical Computation and Simulation 80(4), pp.463-474
    DOI: 10.1080/00949650902762943
    Appears in Collections:[統計學系暨研究所] 期刊論文

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